214115328 has 132 divisors (see below), whose sum is σ = 706788160. Its totient is φ = 61157376.

The previous prime is 214115311. The next prime is 214115413. The reversal of 214115328 is 823511412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62853 + ... + 66171.

Almost surely, 2^214115328 is an apocalyptic number.

214115328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214115328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353394080).

214115328 is an abundant number, since it is smaller than the sum of its proper divisors (492672832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214115328 is a wasteful number, since it uses less digits than its factorization.

214115328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 3331 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 214115328 is about 14632.6801372818. The cubic root of 214115328 is about 598.2498331572.

The spelling of 214115328 in words is "two hundred fourteen million, one hundred fifteen thousand, three hundred twenty-eight".